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Finding the Third Proportional to 33,246.84 and 72,145.13

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Solution

The third proportional to 33,246.84 and 72,145.13 is: 156,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,246.84 : 72,145.13 = 72,145.13 : x
  2. Step 2: Convert to fraction form
    33,246.84/72,145.13 = 72,145.13/x
  3. Step 3: Cross multiply
    33,246.84x = 72,145.13 × 72,145.13
  4. Step 4: Simplify right side
    33,246.84x = 5,204,919,061.27
  5. Step 5: Solve for x
    x = 5,204,919,061.27/33,246.84
  6. Step 6: Final answer
    x = 156,553.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.